Assume y = 0 + p. Be m A A beam, uniform in mass, M = 27 kg and lengthL = 28 m, hangs by a cable supported at point B, and rotates without friction around point A. On the end far of the beam, an object of mass m = 14 kg is hanging. The beam is making an angle of e = 35° at point A with respect to the + x- axis. The cable makes an angle p = 21° with respect to the - x-axis at B. Assume w = 0 + q. What is the vertical force Sy that the wall exerts on the beam at point A in terms of the tension T, given parameters, and variables available in the palette?
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- A 45.5‑kg box with the dimensions a×b (the width a = 0.6 m and height b = 1.3 m) is standing on a rough horizontal floor (μs = 1.3). A Professor wants to tip the box over, she pushes on the right side of the box with a horizontal force F = 140 N at a distance h = 1.04 m above the floor as shown in the picture below. The other forces acting on the box are the gravity force (applied to the CoM of the box), the static friction force Fs and the normal force N (both applied to the lower right corner of the box, point Q). Calculate the magnitude and direction of the torques produced by the forces acting on the box relative to the lower right corner (point Q). Assume uniform mass distribution. 1. The torque due to the external force, τQ(due to F) = 2. The torque due to the weight of the box, τQ(due to mg) = 3. The torque due to the friction force, τQ(due to Fs) = 4. The torque due to the normal force, τQ(due to N) =A beam resting on two pivots has a length of L = 6.00 m and mass M = 79.0 kg. The pivot under the left end exerts a normal force n, on the beam, and the second pivot placed a distance l = 4.00 m from the left end exerts a normal force n,. A woman of mass m = 59.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Where is the woman when the normal force n, is the greatest? X = (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n, when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium…The drawing shows an A-shaped ladder. Both sides of the ladder are equal in length. This ladder is standing on a frictionless horizontal surface, and only the crossbar (which has a negligible mass) of the " A " keeps the ladder from collapsing. The ladder is uniform and has a mass of 15.2Kg. Det k mine the tension in the crossbar of the ladder.
- The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and directions of the normal forces which act on the rollers if (a) h = 0.24L, (b) h = 0.50L, and (c) h = 0.91L. The forces will be positive if up, negative if down. Evaluate your results for p = 1.8 kg /m, L = 575 mm, and P = 48 N. What is the acceleration of the frame in each case? (a) Answers: (b) L (c) A h = 0.24L: h = 0.50L: h = 0.91L: L A = A A = B i i i P B N₁ B N, B N, i i N₁ª N,9 N₁9 i i m/s m/s m/sA beam resting on two pivots has a length of L = 6.00 m and mass M = 77.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 61.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. (a) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip. (b) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip.x = (c) Check the answer to part (e) by computing torques around the first pivot point.x = (d)Except for possible slight differences due to rounding, is the answer the same for F and E?A beam resting on two pivots has a length of L = 6.00 m and mass M = 87.0 kg. The pivot under the left end exerts a normal force n₁ on the beam, and the second pivot placed a distance = 4.00 m from the left end exerts a normal force n₂. A woman of mass m = 52.0 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. -L- m M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Where is the woman when the normal force n₁ is the greatest? x = L m (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n₂ when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium equation, with torques computed…
- A child of weight 30 kg (m2) walks along a uniform board of weight 10 kg (m1) and length = 10 m. The board is supported by two legs (symmetry to the center) with negligible weight shown in the figure. How close (i.e. find x) could the child walk to the right end before the board flips (in m)?A beam, uniform in mass, M = 51 kg and length L = 6 m, hangs by a cable supported at point B, and rotates without friction around point A. On the end far of the beam, an object of mass m = 12 kg is hanging. The beam is making an angle of θ = 15° at point A with respect to the + x-axis. The cable makes an angle φ = 25° with respect to the - x-axis at B. Assume ψ = θ + φ. Part (a) Select the correct free body diagram. In the figure the tension is T, horizontal and vertical components of the support force are Sx and Sy, FB is the weight of the beam, and Fm is the weight of the mass. Part (b) Find an expression for the lever arm for the weight of the beam, lB, about the point A? Part (c) Find an expression for the lever arm for the weight of the mass, lm? Part (d) Write an expression for the magnitude of the torque about point A created by the tension T. Give your answer in terms of the tension T and the other given parameters and trigonometric functions. Part (e) What is the…A beam resting on two pivots has a length of L = 6.00 m and mass M = 94.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 51.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. (a)Where is the woman when the normal force n1 is the greatest? x = _____m(b) What is n1 when the beam is about to tip?____N(c) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip.____N